Commutativity of rings satisfying certain polynomial identities

DOI10.1017/S0004972700029464zbMath0721.16020OpenAlexW2141832431MaRDI QIDQ5752710

Howard E. Bell, Adil Yaqub, Hazar Abu-Khuzam

Publication date: 1991

Published in: Bulletin of the Australian Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0004972700029464

zbMATH Keywords

identitiesnilpotent elementscommutativeperiodic ringn-torsion-free ring

Mathematics Subject Classification ID

Nil and nilpotent radicals, sets, ideals, associative rings (16N40) Generalizations of commutativity (associative rings and algebras) (16U80) Center, normalizer (invariant elements) (associative rings and algebras) (16U70) Identities other than those of matrices over commutative rings (16R40)

Related Items (3)

Commutativity of rings satisfying some polynomial conditions ⋮ Commutativity conditions for rings: 1950-2005. ⋮ Commutativity of Rings with Constraints Involving a Subset

Cites Work

• A Commutattvity Theorem for Rings and Groups
• On commutativity of periodic rings and near-rings
• Some commutativity results for periodic rings
• Generalized Commutative Rings
• A commutativity theorem
• A commutativity theorem

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